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Finding the Fourth Proportional to 4,513.85, 6,770.16 and 1,591.77

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Solution

The fourth proportional to 4,513.85, 6,770.16 and 1,591.77 is: 2,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.85 : 6,770.16 = 1,591.77 : x
  2. Step 2: Convert to fraction form
    4,513.85/6,770.16 = 1,591.77/x
  3. Step 3: Cross multiply
    4,513.85x = 6,770.16 × 1,591.77
  4. Step 4: Simplify right side
    4,513.85x = 10,776,537.58
  5. Step 5: Solve for x
    x = 10,776,537.58/4,513.85
  6. Step 6: Final answer
    x = 2,387.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.